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What is the Least Common Multiple of 58277 and 58288?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 58277 and 58288 is 3396849776.

LCM(58277,58288) = 3396849776

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Least Common Multiple of 58277 and 58288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58277 and 58288, than apply into the LCM equation.

GCF(58277,58288) = 1
LCM(58277,58288) = ( 58277 × 58288) / 1
LCM(58277,58288) = 3396849776 / 1
LCM(58277,58288) = 3396849776

Least Common Multiple (LCM) of 58277 and 58288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58277 and 58288. First we will calculate the prime factors of 58277 and 58288.

Prime Factorization of 58277

Prime factors of 58277 are 101, 577. Prime factorization of 58277 in exponential form is:

58277 = 1011 × 5771

Prime Factorization of 58288

Prime factors of 58288 are 2, 3643. Prime factorization of 58288 in exponential form is:

58288 = 24 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 58277 and 58288.

LCM(58277,58288) = 1011 × 5771 × 24 × 36431
LCM(58277,58288) = 3396849776